27. 5w+12w+4w^2-17w+7w^2-15w-6

To simplify the given expression, we need to combine like terms. Let's rewrite the expression and group the like terms together:<br /><br />\[ 5w + 12w - 17w - 15w + 4w^2 + 7w^2 - 6 \]<br /><br />Now, let's combine the like terms:<br /><br />\[ (5w + 12w - 17w - 15w) + (4w^2 + 7w^2) - 6 \]<br /><br />Simplify the coefficients:<br /><br />\[ (5 + 12 - 17 - 15)w + (4 + 7)w^2 - 6 \]<br /><br />\[ (1717 - 15)w + 11w^2 - ]<br /><br />\[ -15w + 11w^2 - 6 \]<br /><br />So, the simplified expression is:<br /><br />\[ 11w^2 - 15w - 6 \]